Respuesta :

Ckaranja
The exterior angle is 180-135= 45 degrees.
The number of sides= [tex] \frac{360}{45} [/tex]
The number of sides= 8 sides
This is an octagon
botellok

Answer:

Octagon.

Step-by-step explanation:

To find the type of polygon I am going to use a simple formula. The formula of the total sum of the interior angles of a regular polygon.

The total sum of the interior angles of a polygon with x sides is (x-2)180 and we know that each interior angle has a measure of 135°, that is, the total sum of the interior angles will be also 135*x where x is the amount of sides. So,

(x-2)180 = 135x, if we find x we will know how many sides has the polygon and we will know what type of polygon is. Then, let's find x.

(x-2)180 = 135x

180x-360 = 135x

180x - 135x = 360

45x = 360

x = 360/45

x = 8.

Then, the regular polygon has 8 sides, therefore it is an octagon.

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